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Cardinal Arithmetic

by Saharon Shelah
Save 17% Save 17%
Current price ₹37,233.00
Original price ₹44,680.00
Original price ₹44,680.00
Original price ₹44,680.00
(-17%)
₹37,233.00
Current price ₹37,233.00

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Book cover type: Hardcover
  • ISBN13: 9780198537854
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: OUP Oxford
  • Publisher Imprint: OUP Oxford
  • Publication Date:
  • Pages: 512
  • Original Price: USD 345.0
  • Language: English
  • Edition: N/A
  • Item Weight: 926 grams
  • BISAC Subject(s): Set Theory

Is the continuum hypothesis still open? If we interpret it as finding the laws of cardinal arithmetic (or exponentiation, since addition and multiplication were classically solved), the hypothesis would be solved by the independence results of Gödel, Cohen, and Easton, with some isolated positive results (like Gavin-Hajnal). Most mathematicians expect that only more independence results remain to be proved. In Cardinal Arithmetic, however, Saharon Shelah offers an alternative view. By redefining the hypothesis, he gets new results for the conventional cardinal arithmetic, finds new applications, extends older methods using normal filters, and proves the existence of Jonsson algebra. Researchers in set theory and related areas of mathematical logic will want to read this provocative new approach to an important topic.

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